4506624000 has 448 divisors, whose sum is σ = 16765706880. Its totient is φ = 1194393600.

The previous prime is 4506623971. The next prime is 4506624029. The reversal of 4506624000 is 4266054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4506623971) and next prime (4506624029).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647919 + ... + 27648081.

Almost surely, 2^4506624000 is an apocalyptic number.

4506624000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4506624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382853440).

4506624000 is an abundant number, since it is smaller than the sum of its proper divisors (12259082880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4506624000 is an equidigital number, since it uses as much as digits as its factorization.

4506624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4506624000 is about 67131.3935502608. The cubic root of 4506624000 is about 1651.7733001147.

The spelling of 4506624000 in words is "four billion, five hundred six million, six hundred twenty-four thousand".